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Finding the Fourth Proportional to 299,163.04, 412,846.32 and 163,200.08

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Solution

The fourth proportional to 299,163.04, 412,846.32 and 163,200.08 is: 225,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,163.04 : 412,846.32 = 163,200.08 : x
  2. Step 2: Convert to fraction form
    299,163.04/412,846.32 = 163,200.08/x
  3. Step 3: Cross multiply
    299,163.04x = 412,846.32 × 163,200.08
  4. Step 4: Simplify right side
    299,163.04x = 67,376,552,451.71
  5. Step 5: Solve for x
    x = 67,376,552,451.71/299,163.04
  6. Step 6: Final answer
    x = 225,216.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.